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Finding the Third Proportional to 2,358,246 and 3,740,193

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Solution

The third proportional to 2,358,246 and 3,740,193 is: 5,931,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,246 : 3,740,193 = 3,740,193 : x
  2. Step 2: Convert to fraction form
    2,358,246/3,740,193 = 3,740,193/x
  3. Step 3: Cross multiply
    2,358,246x = 3,740,193 × 3,740,193
  4. Step 4: Simplify right side
    2,358,246x = 13,989,043,677,249
  5. Step 5: Solve for x
    x = 13,989,043,677,249/2,358,246
  6. Step 6: Final answer
    x = 5,931,969.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.